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Simplifying 0.02(y + -2) + 0.08y = 0.06y + -0.3 Reorder the terms: 0.02(-2 + y) + 0.08y = 0.06y + -0.3 (-2 * 0.02 + y * 0.02) + 0.08y = 0.06y + -0.3 (-0.04 + 0.02y) + 0.08y = 0.06y + -0.3 Combine like terms: 0.02y + 0.08y = 0.1y -0.04 + 0.1y = 0.06y + -0.3 Reorder the terms: -0.04 + 0.1y = -0.3 + 0.06y Solving -0.04 + 0.1y = -0.3 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.04 + 0.1y + -0.06y = -0.3 + 0.06y + -0.06y Combine like terms: 0.1y + -0.06y = 0.04y -0.04 + 0.04y = -0.3 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.04 + 0.04y = -0.3 + 0.00 -0.04 + 0.04y = -0.3 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.04y = -0.3 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.04y = -0.3 + 0.04 0.04y = -0.3 + 0.04 Combine like terms: -0.3 + 0.04 = -0.26 0.04y = -0.26 Divide each side by '0.04'. y = -6.5 Simplifying y = -6.5
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